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By Peter Abraham, Globe Staff

Jon Heyman of CBS Sports reports today that the Red Sox are making progress with Mike Napoli and should have him signed by next week.

Napoli agreed to terms on a three-year, $39 million deal in early December. The deal broke down when Napoli came to Boston for a physical and the Sox had concerns about a hip injury. The sides have been working since on new terms. The outcome is likely to be a shorter-term contract for Napoli — perhaps just a year — at an average annual value below $13 million.

Red Sox GM Ben Cherington has said for several weeks that he was hopeful of getting a deal done. This latest report adds credence to that idea.

Also:

• RHP Aaron Cook has signed a minor league contract with the Phillies that would pay $1.6 million if he makes the major league roster. Fox Sports had that news.

Cook was 4-11 with a 5.65 ERA in 18 starts for the Red Sox last season, allowing 15 home runs over 94 innings.

• RHP Vicente Padilla and his sunny personality are off to Japan. Padilla has signed a one-year, $3.25 million deal with the SoftBank Hawks according to Jesse Sanchez of MLB.com.

Padilla appeared in 56 games for the Red Sox last season, second-most on the team to Alfredo Aceves. He had a 4.50 ERA and struck out 51 in 50 innings. Padilla seemed to tire out near the end of the season, allowing 12 hits over his last 6.2 innings in 10 appearances after Aug. 27.